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Finding the Fourth Proportional to 76,980.95, 106,231.64 and 42,988.49

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Solution

The fourth proportional to 76,980.95, 106,231.64 and 42,988.49 is: 59,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,980.95 : 106,231.64 = 42,988.49 : x
  2. Step 2: Convert to fraction form
    76,980.95/106,231.64 = 42,988.49/x
  3. Step 3: Cross multiply
    76,980.95x = 106,231.64 × 42,988.49
  4. Step 4: Simplify right side
    76,980.95x = 4,566,737,578.88
  5. Step 5: Solve for x
    x = 4,566,737,578.88/76,980.95
  6. Step 6: Final answer
    x = 59,322.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.